On the Logarithmic Integral

Abstract

The logarithmic integral li(x) and its associated functions li+(x) and li−(x) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of these functions and other functions are then found.

Keywords

• Logarithmic integral,Distribution,Convolution,Neutrix,Neutrix convolution,2000 AMS Classification: 33 B 10

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